Harnack Inequality and Applications for Stochastic Evolution Equations with Monotone Drifts

Details Harnack Inequality and Applications for Stochastic Evolution Equations with Monotone Drifts Harnack Inequality and Applications for Stochastic Evolution Equations with Monotone Drifts

2008-02-03

arxiv.org/abs/0802.0289v4

J. Evol. Equat. 9(2009), 747-770

Mathematics

Probability

25 pages, to appear in J. Evol. Equ

Scientific paper

10.1007/s00028-009-0032-8

In this paper, the dimension-free Harnack inequality is proved for the associated transition semigroups to a large class of stochastic evolution equations with monotone drifts. As applications, the ergodicity, hyper-(or ultra-)contractivity and compactness are established for the corresponding transition semigroups. Moreover, the exponential convergence of the transition semigroups to invariant measure and the existence of a spectral gap are also derived. The main results are applied to many concrete stochastic evolution equations such as stochastic reaction-diffusion equations, stochastic porous media equations and the stochastic p-Laplace equation in Hilbert space.

Affiliated with

Also associated with

No associations

Rating

Harnack Inequality and Applications for Stochastic Evolution Equations with Monotone Drifts does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Harnack Inequality and Applications for Stochastic Evolution Equations with Monotone Drifts, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Harnack Inequality and Applications for Stochastic Evolution Equations with Monotone Drifts will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-217129